The concentration, CCC, of a chemical reagent in a reaction vessel is modeled by the equation
C=52t4+0.8t,t≥1 C = \frac{5}{2t^4} + 0.8^t, \quad t \ge 1 C=2t45+0.8t,t≥1where t t\,t is the time in minutes.
Find an expression for dCdt\displaystyle \frac{dC}{dt}dtdC.